Least Common Multiple of 9478 and 9485
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9478 and 9485 the smallest integer that is 12842690 that is divisible by both numbers.
Least Common Multiple (LCM) of 9478 and 9485 is 12842690.
LCM(9478,9485) = 12842690
LCM of 9478 and 9485
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9478 and 9485 by Prime method
- Least Common Multiple of 9478 and 9485 with GCF Formula
LCM of 9478 and 9485 is 12842690
Least common multiple can be found by multiplying the highest exponent prime factors of 9478 and 9485. First we will calculate the prime factors of 9478 and 9485.
Prime Factorization of 9478
| 2 | 9478 |
| 7 | 4739 |
| 677 | 677 |
| 1 |
Prime factors of 9478 are 2, 7,677. Prime factorization of 9478 in exponential form is:
9478 = 21×71×6771
Prime Factorization of 9485
| 5 | 9485 |
| 7 | 1897 |
| 271 | 271 |
| 1 |
Prime factors of 9485 are 5, 7,271. Prime factorization of 9485 in exponential form is:
9485 = 51×71×2711
Now multiplying the highest exponent prime factors to calculate the LCM of 9478 and 9485.
LCM(9478,9485) = 21×51×71×2711×6771
LCM(9478,9485) = 12842690
Factors of 9478
List of positive integer factors of 9478 that divides 9478 without a remainder.
1, 2, 7, 14, 677, 1354, 4739, 9478
Factors of 9485
List of positive integer factors of 9485 that divides 9485 without a remainder.
1, 5, 7, 35, 271, 1355, 1897, 9485
Least Common Multiple of 9478 and 9485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9478 and 9485, than apply into the LCM equation.
GCF(9478,9485) = 7
LCM(9478,9485) = ( 9478 × 9485) / 7
LCM(9478,9485) = 89898830 / 7
LCM(9478,9485) = 12842690
Properties of LCM 9478 and 9485
(i) The LCM of 9485 and 9478 is associative
LCM of 9478 and 9485 = LCM of 9485 and 9478
Related Least Common Multiples of 9478
Related Least Common Multiples of 9485
Frequently Asked Questions on LCM of 9478 and 9485
1. What is the LCM of 9478 and 9485?
Answer: LCM of 9478 and 9485 is 12842690.
2. What are the Factors of 9478?
Answer: Factors of 9478 are 1, 2, 7, 14, 677, 1354, 4739, 9478. There are 8 integers that are factors of 9478. The greatest factor of 9478 is 9478.
3. What are the Factors of 9485?
Answer: Factors of 9485 are 1, 5, 7, 35, 271, 1355, 1897, 9485. There are 8 integers that are factors of 9485. The greatest factor of 9485 is 9485.
4. How to Find the LCM of 9478 and 9485?
Answer:
Least Common Multiple of 9478 and 9485 = 12842690
Step 1: Find the prime factorization of 9478
9478 = 2 x 7 x 677
Step 2: Find the prime factorization of 9485
9485 = 5 x 7 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12842690 = 2 x 5 x 7 x 271 x 677
Step 4: Therefore, the least common multiple of 9478 and 9485 is 12842690.